Probably the first time in history was the golden incision (ratio) and fractal patterns discovered in the outer universe. The ratio of the golden cut (1.61803398875 ..., referred to as Phi / Phi) is often associated with Sacred Geometry and is an integral part of our perception of nature - as can be seen in the Egyptian pyramids, the Greek Parthenon, Da Vinci's Vitruvian figure, and now also in the stars. Scientific American announced that researchers at the University of Hawaii in Mānoa were studying a group of stars known as Golden RR Lyrae using Kepler's telescope and found that these stars were rhythmically expanding and shrinking (changing their brightness and temperature) similar to the frequencies in the song . "So, as rock stars make rhythmic beats under the melody of their songs, the same stars make these variables," said Dr. Lindner, lead researcher. Dr. Lindner further explains that these stars call "golden" because the ratio of two of their frequency components is close to the golden cut ratio.

When the golden section (or Divine Ratio) is arranged numerically, it creates a fractal pattern. Fractals are never-ending formations that constantly repeat exactly the same pattern, showing them at any scale. In the last 15 years, metaphysics and modern physicists believe that by studying fractal patterns we can understand the universe and its structures. Researchers analyzed that four of the six Lyrae-type stars have a ratio of base and mean frequencies equal to the ratio of the golden cut, with a deviation of a maximum of two percent. "The Golden Cut has a long history in various disciplines - from crystal physics to fine arts," said Mario Livio, astrophysicist at the Space Telescope Science Institute in Baltimore, who wrote The Golden Ratio: The Story of Phi, The World's Most Astonishing Number. The golden section is created by dividing the line into two parts so that the ratio of the larger part to the smaller is the same as the ratio of the whole line to the larger part.

"The golden cut is strange in that it is in some sense the most irrational of all the irrational figures," says Livio. If the number can not be expressed by the ratio of integers, then it is an irrational number. The golden section is the most difficult to express with rational numbers. The RR Lyrae variable's brightness may vary by as much as 200 percent within just half a day. These changes in four of the six stars showed fractal behavior, suggesting that there may be a certain pattern, but Linder and colleagues need more data. If you approach the fractal pattern, you discover more and more patterns - similarly when you lower the threshold value when viewing these stars, you observe more and more frequencies. Astronomer Szabó, who runs a working group studying Kepler telescope data on RR Lyra stars, says he is not yet convinced that the golden cut in this case is more than just a coincidence but that the oscillation frequency characteristics are indicative. "These outputs are a significant contribution to the topic," he says.

The RR Lyrae stars are an example of a special non-chaotic dynamics. Special refers to the fractal structure, and non-chaotic means that the formula is arranged rather than random. "Strange non-chaotic attractors (in the theory of chaos, the final state of the system) have been observed in laboratory experiments with magnetoelastic tapes, electrochemical cells, electronic circuits, and neon discharges, but never before in the wild," says Linder. Fractal patterns in nature, such as the weather, are typically chaotic, so this aspect of the behavior of the variable stars has been a great surprise for researchers. "When you look at the literature, you will see lots of examples of special chaotic behavior," Linder says. "I think our papers intend to bring this overlooked dynamics to the fore." Astronomers hope to find a golden cut ratio in the frequencies of other stars to predict the dynamics of star pulses. It would be another step toward understanding why cosmic systems seem to be attracted to the Fi ratio.